If f(x) = x^3 + 1 and g(x) = x^2 -2What is f(g(2))?

Question

Please help!

Answer 1

in order to solve this you need to look at what is being asked exactly. They want to know what f will be, when 2 is substituted for x in the g(x) equation, and then the g(x) equation is substituted into x in the f(x) equation. The solution will look like this,

f(x) = [g(2)]^ 3 +1

f(x) = [(2^2) - 2] ^3 +1

f(x) = [4-2]^ 3 + 1

f(x) = 8 + 1

f(x) = 9

Answer 2

plug in 2 for x in g(x):

g(2) = (2)^2 -2 or 2 <-- use this in f(x)

f(2) = (2)^3 +1

or 9 <-- that's your answer

good luck =) and I hope that helps =)